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Ebbsfleet United face a long trip west in the first round of the FA Trophy.
Former winners Fleet will face the winners of a replay between Gloucester City and Truro City in their opening tie of the competition on Saturday, December 10.
Three other Kent sides will also be on the road, should they win their replays on Tuesday night.
If Tonbridge can see off Bishop's Stortford then they will face a trip to Carshalton Athletic while the winner of the Thamesmead Town and Welling United replay will make the short journey to East Thurrock United.
At stake for the winner of Dartford's replay at home to Eastbourne Borough is an away tie against Brackley Town.